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Finding the Fourth Proportional to 8,832.98, 12,186.02 and 5,691

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Solution

The fourth proportional to 8,832.98, 12,186.02 and 5,691 is: 7,851.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,832.98 : 12,186.02 = 5,691 : x
  2. Step 2: Convert to fraction form
    8,832.98/12,186.02 = 5,691/x
  3. Step 3: Cross multiply
    8,832.98x = 12,186.02 × 5,691
  4. Step 4: Simplify right side
    8,832.98x = 69,350,639.82
  5. Step 5: Solve for x
    x = 69,350,639.82/8,832.98
  6. Step 6: Final answer
    x = 7,851.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.